Nonlinear Oscillations: Exact Solutions and their Approximations

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Theory Of Machines And Mechanisms

A review of flow-induced vibration energy harvesters

Bistable Structures for Advanced Functional Systems

In this work, the nonlinear dynamic analysis of a parametrically base excited cantilever beam based piezoelectric energy harvester is carried. The system consists of a cantilever beam with piezoelectric patches in bimorph configuration and attached mass at an arbitrary position. The attached mass is placed in such a way that the system exhibits 3:1 internal resonance. The governing spatio-temporal equation of motion is discretized to its temporal form by using generalized Galerkin’s method. To obtain the steady state voltage response and stability of the system, Method of multiple scales is used to reduce the resulting equation of motion into a set of first-order differential equations. The response and stability of the system under principal parametric resonance conditions has been studied. The parametric instability regions are shown for variation in different system parameters such as excitation amplitude and frequency, damping and load resistance. Bifurcations such as turning point, pitch-fork and Hopf are observed in the multi-branched non-trivial response. By tuning the attached mass an attempt has been made to harvest the electrical energy for a wider range of frequency. Such kind of smart self-sufficient systems may find application in powering low power wireless sensor nodes or micro electromechanical systems.

Nonlinear dynamics of parametrically excited piezoelectric energy harvester with 1:3 internal resonance

In the present work, both theoretical and experimental investigation of a vertical cantilever beam–based piezoelectric energy harvester are carried out under principal parametric resonance conditio...

Piezoelectric energy harvester under parametric excitation: A theoretical and experimental investigation:

In this work, theoretical and experimental analysis of a piezoelectric energy harvester with parametric base excitation is presented under combination parametric resonance condition. The harvester consists of a cantilever beam with a piezoelectric patch and an attached mass, which is positioned in such a way that the system exhibits 1:3 internal resonance. The generalized Galerkin’s method up to two modes is used to obtain the temporal form of the nonlinear electromechanical governing equation of motion. The method of multiple scales is used to reduce the equations of motion into a set of first-order differential equations. The fixed-point response and the stability of the system under combination parametric resonance are studied. The multi-branched non-trivial response exhibits bifurcations such as turning point and Hopf bifurcations. Experiments are performed under various resonance conditions. This study on the parametric excitation along with combination and internal resonances will help to harvest energy for a wider frequency range from ambient vibrations.

Dynamic analysis of piezoelectric energy harvester under combination parametric and internal resonance: a theoretical and experimental study

This article reports the numerical study of Rayleigh–Benard convection in a 2-D rectangular channel in the presence of volumetric radiation. Momentum and energy equations are formulated and solved using the lattice Boltzmann method (LBM). Volumetric radiative information needed in the energy equation is computed using the finite volume method. The approach of the double population scheme is adopted in the LBM to compute the velocity and the temperature fields. Effects of optical properties such as the extinction coefficient, the scattering albedo, and the convection-radiation parameter on streamlines, isotherms, and Nusselt number distributions are analyzed for a wide range of Rayleigh numbers. Radiation is found to significantly alter the velocity and thermal fields in the medium.

Anshul Garg

Papers

Nonlinear dynamics of parametrically excited piezoelectric energy harvester with 1:3 internal resonance

Piezoelectric energy harvester under parametric excitation: A theoretical and experimental investigation:

Dynamic analysis of piezoelectric energy harvester under combination parametric and internal resonance: a theoretical and experimental study

Numerical Analysis of Rayleigh-Bénard Convection with and Without Volumetric Radiation

Nonlinear Dynamics of Axially Loaded Piezoelectric Energy Harvester